What is the Greatest Common Factor of 72768 and 72786?

Greatest common factor (GCF) of 72768 and 72786 is 6.

GCF(72768,72786) = 6

We will now calculate the prime factors of 72768 and 72786, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72768 and 72786.

How to find the GCF of 72768 and 72786?

We will first find the prime factorization of 72768 and 72786. After we will calculate the factors of 72768 and 72786 and find the biggest common factor number .

Step-1: Prime Factorization of 72768

Prime factors of 72768 are 2, 3, 379. Prime factorization of 72768 in exponential form is:

72768 = 2⁶ × 3¹ × 379¹

Step-2: Prime Factorization of 72786

Prime factors of 72786 are 2, 3, 7, 1733. Prime factorization of 72786 in exponential form is:

72786 = 2¹ × 3¹ × 7¹ × 1733¹

Step-3: Factors of 72768

List of positive integer factors of 72768 that divides 72768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 379, 758, 1137, 1516, 2274, 3032, 4548, 6064, 9096, 12128, 18192, 24256, 36384

Step-4: Factors of 72786

List of positive integer factors of 72786 that divides 72768 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1733, 3466, 5199, 10398, 12131, 24262, 36393

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72768 and 72786. The biggest common factor number is the GCF number.
So the greatest common factor 72768 and 72786 is 6.

Also check out the Least Common Multiple of 72768 and 72786